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Finding the Fourth Proportional to 41,091.38, 56,706.17 and 22,228.50

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Solution

The fourth proportional to 41,091.38, 56,706.17 and 22,228.50 is: 30,675.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,091.38 : 56,706.17 = 22,228.50 : x
  2. Step 2: Convert to fraction form
    41,091.38/56,706.17 = 22,228.50/x
  3. Step 3: Cross multiply
    41,091.38x = 56,706.17 × 22,228.50
  4. Step 4: Simplify right side
    41,091.38x = 1,260,492,988.70
  5. Step 5: Solve for x
    x = 1,260,492,988.70/41,091.38
  6. Step 6: Final answer
    x = 30,675.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.